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Algebra 1 Chapter 3 Practice Test



 1. 

Which of the following represent functions?

I.
Input
Output
II.
Input
Output
III.
Input
Output
 
4
0
 
2
8
 
-2
0
 
5
0
 
4
6
 
1
1
 
6
-1
 
6
4
 
1
2
 
7
-1
 
8
2
 
2
3
a.
All
b.
I and II
c.
I and III
d.
II and III
 

 2. 

Determine whether the graph represents a function.
mc002-1.jpg
a.
The relation is not a function.
b.
The relation is a function.
 

 3. 

Does the input-output table represent a function? If it does represent a function, list the domain and range.

Input
1
2
3
4
Output
7
11
15
19
 

 4. 

Which of the following data sets is best described by a linear function?
a.
mc004-1.jpg
c.
mc004-3.jpg
b.
mc004-2.jpg
d.
mc004-4.jpg
 

 5. 

Classify the function as discrete or continuous for the given domain. Then identify the range of the function.

sa005-1.jpg; domain sa005-2.jpg
 

 6. 

Classify the function as discrete or continuous for the given domain. Then identify the range of the function.

sa006-1.jpg; domain: x = –4, –2, 0, 2, 4
 

 7. 

At a convenience store, bottles of water cost $1.20 each. The function sa007-1.jpg gives the cost of buying x bottles. Give a reasonable domain and range for the function in this context.
 

 8. 

Evaluate mc008-1.jpg, when x = –2.
a.
–18
c.
–3
b.
–33
d.
–15
 

 9. 

For mc009-1.jpg, what is the value of x for which mc009-2.jpg?
a.
mc009-3.jpg
c.
mc009-5.jpg
b.
mc009-4.jpg
d.
mc009-6.jpg
 

 10. 

The domain of the function f is the set of integers greater than mr010-1.jpg. Which of the following values represent elements of the range of mr010-2.jpg?
 a.
mr010-34.jpg
 e.
mr010-38.jpg
 b.
mr010-35.jpg
 f.
mr010-39.jpg
 c.
mr010-36.jpg
 g.
mr010-40.jpg
 d.
mr010-37.jpg
 h.
mr010-41.jpg
 

 11. 

For the function f, each range value is associated with only one domain value. The range of sa011-1.jpg is sa011-2.jpg. What is the domain of sa011-3.jpg? Explain your answer.
 

 12. 

Use intercepts to graph the linear equation mc012-1.jpg.
a.
x-intercept: mc012-2.jpg, y-intercept: mc012-3.jpg
mc012-4.jpg
c.
x-intercept: –9, y-intercept: mc012-7.jpg
mc012-8.jpg
b.
x-intercept: mc012-5.jpg, y-intercept: 6
mc012-6.jpg
d.
x-intercept: –9, y-intercept: 6
mc012-9.jpg
 

 13. 

Graph the function mc013-1.jpg.
a.
mc013-2.jpg
c.
mc013-4.jpg
b.
mc013-3.jpg
d.
mc013-5.jpg
 

 14. 

The Tome family is renting a car for a few days. Meinke Rentals charges $48 per day, plus a fixed cleaning fee of $30. The function mc014-1.jpg represents the cost to rent a car from Meinke Rentals for d days. SmartRent charges $60 per day. The function mc014-2.jpg represents the cost to rent a car from SmartRent for d days. Graph M and S on the same coordinate plane. Describe the transformations from the graph of M to the graph of S..
a.
mc014-3.jpg
A vertical shift down 30 units, followed by a vertical stretch by a factor of 1.25.
c.
mc014-5.jpg
A vertical shrink by a factor of 0.8, followed by a vertical shift up 24 units.
b.
mc014-4.jpg
A vertical stretch by a factor of 1.25, followed by a vertical shift down 30 units.
d.
mc014-6.jpg
A vertical shift up 24 units, followed by a vertical shrink by a factor of 0.8.
 

 15. 

The pressure in a car tire is given by mc015-1.jpg where p is pressure in psi and x is the number of months since the tire was filled. Describe what this function represents.
a.
The initial tire pressure is 30 psi, and it goes down by 1 psi each month.
b.
The initial tire pressure is 30 psi, and it increases by 1 psi each month.
c.
The initial tire pressure is 1 psi, and it increases by 30 psi each month.
d.
The initial tire pressure is 1 psi, and it goes down by 30 psi each month.
 

 16. 

The graph shows membership costs at a gym. What is the cost per month?

sa016-1.jpg
 

 17. 

Describe the effect of the transformation mc017-1.jpg.
a.
vertical translation of 9 units
c.
vertical stretch with reflection
b.
horizontal translation of 9 units
d.
vertical stretch without reflection
 

 18. 

Let mc018-1.jpg be a vertical shift of mc018-2.jpg down 8 units followed by a vertical shrink by a factor of mc018-3.jpg. Write the rule for mc018-4.jpg.
a.
mc018-5.jpg
c.
mc018-7.jpg
b.
mc018-6.jpg
d.
mc018-8.jpg
 

 19. 

What must be done to the graph of mc019-1.jpg to obtain the graph of the function mc019-2.jpg?
a.
The graph of f is shifted left 6 units, horizontally shrunk by a factor of mc019-15.jpg, and shifted down 8 units.
b.
The graph of f is shifted right 6 units, vertically shrunk by a factor of mc019-16.jpg, and shifted down 8 units.
c.
The graph of f is shifted left 6 units, vertically shrunk by a factor of mc019-17.jpg, and shifted down 8 units.
d.
The graph of f is shifted left 6 units, vertically shrunk by a factor of mc019-18.jpg, and shifted up 8 units.
 

 20. 

What is the vertex of the graph?

mc020-1.jpg
a.
mc020-4.jpg
c.
mc020-6.jpg
b.
mc020-5.jpg
d.
mc020-7.jpg
 



 
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